2017 WAEC SSCE Further Mathematics Past Questions

2017

Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)

2017

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.

2017

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

2017

Face123456Frequency1218y302y45 Given the table above as the result of tossing a fair die 150 times, find the mode.

2017

Face123456Frequency1218y302y45Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

2017

Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).

2017

A fair die is tossed twice. What is its smple size?

2017

In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

2017

A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.

2017

Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.

2017

The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term.

2017

There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys

2017

Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)

2017

Evaluate \(\int_{-1}^{0} (x+1)(x-2) \mathrm{d}x\)

2017

If \(y = \frac{1+x}{1-x}\), find \(\frac{dy}{dx}\).

2017

Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.

2017

A circle with centre (4,5) passes through the y-intercept of the line 5x - 2y + 6 = 0. Find its equation.

2017

Given that \(\sin x = \frac{5}{13}\) and \(\sin y = \frac{8}{17}\), where x and y are acute, find \(\cos(x+y)\).

2017

If \(B = \begin{pmatrix}Â 2 & 5Â \\Â 1 & 3Â \end{pmatrix}\), find \(B^{-1}\).

2017

\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\frac{\alpha}{\beta} + \frac{\beta}{\alpha}\)

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2017 WAEC SSCE Further Mathematics Past Questions

Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

Face123456Frequency1218y302y45 Given the table above as the result of tossing a fair die 150 times, find the mode.

Face123456Frequency1218y302y45Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).

A fair die is tossed twice. What is its smple size?

In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.

Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.

The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term.

There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys

Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)

Evaluate \(\int_{-1}^{0} (x+1)(x-2) \mathrm{d}x\)

If \(y = \frac{1+x}{1-x}\), find \(\frac{dy}{dx}\).

Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.

A circle with centre (4,5) passes through the y-intercept of the line 5x - 2y + 6 = 0. Find its equation.

Given that \(\sin x = \frac{5}{13}\) and \(\sin y = \frac{8}{17}\), where x and y are acute, find \(\cos(x+y)\).

If \(B = \begin{pmatrix}Â 2 &amp; 5Â \\Â 1 &amp; 3Â \end{pmatrix}\), find \(B^{-1}\).

\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\frac{\alpha}{\beta} + \frac{\beta}{\alpha}\)

If \(B = \begin{pmatrix}Â 2 & 5Â \\Â 1 & 3Â \end{pmatrix}\), find \(B^{-1}\).